{
  "id": "0803.3743",
  "version": "v2",
  "published": "2008-03-26T14:59:53.000Z",
  "updated": "2008-09-13T21:23:46.000Z",
  "title": "Einstein Metrics, Complex Surfaces, and Symplectic 4-Manifolds",
  "authors": [
    "Claude LeBrun"
  ],
  "comment": "12 pages, LaTeX2e. Final version, to appear in Math. Proc. Camb. Phil. Soc. (Preliminary version appeared in informal lecture-note volume in honor of Fujiki's 60th birthday.)",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "Which smooth compact 4-manifolds admit an Einstein metric with non-negative Einstein constant? A complete answer is provided in the special case of 4-manifolds that also happen to admit either a complex structure or a symplectic structure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-13T21:23:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "57R57"
    ],
    "keywords": [
      "einstein metric",
      "complex surfaces",
      "complex structure",
      "symplectic structure",
      "special case"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3743L"
    }
  }
}